What is the Least Common Multiple of 66688 and 66704?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 66688 and 66704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66688 and 66704, than apply into the LCM equation.

GCF(66688,66704) = 16
LCM(66688,66704) = ( 66688 × 66704) / 16
LCM(66688,66704) = 4448356352 / 16
LCM(66688,66704) = 278022272

Least Common Multiple (LCM) of 66688 and 66704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66688 and 66704. First we will calculate the prime factors of 66688 and 66704.

Prime Factorization of 66688

Prime Factorization of 66704

Now multiplying the highest exponent prime factors to calculate the LCM of 66688 and 66704.

LCM(66688,66704) = 2⁷ × 521¹ × 11¹ × 379¹
LCM(66688,66704) = 278022272